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Finding the Third Proportional to 93,398 and 202,672

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Solution

The third proportional to 93,398 and 202,672 is: 439,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,398 : 202,672 = 202,672 : x
  2. Step 2: Convert to fraction form
    93,398/202,672 = 202,672/x
  3. Step 3: Cross multiply
    93,398x = 202,672 × 202,672
  4. Step 4: Simplify right side
    93,398x = 41,075,939,584
  5. Step 5: Solve for x
    x = 41,075,939,584/93,398
  6. Step 6: Final answer
    x = 439,794.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.